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Finding the Fourth Proportional to 905.40, 1,354.86 and 850.05

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Solution

The fourth proportional to 905.40, 1,354.86 and 850.05 is: 1,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.40 : 1,354.86 = 850.05 : x
  2. Step 2: Convert to fraction form
    905.40/1,354.86 = 850.05/x
  3. Step 3: Cross multiply
    905.40x = 1,354.86 × 850.05
  4. Step 4: Simplify right side
    905.40x = 1,151,698.74
  5. Step 5: Solve for x
    x = 1,151,698.74/905.40
  6. Step 6: Final answer
    x = 1,272.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.